422452800 has 672 divisors, whose sum is σ = 1935114240. Its totient is φ = 87091200.

The previous prime is 422452787. The next prime is 422452843. The reversal of 422452800 is 8254224.

422452800 = T₄₉₆ + T₄₉₇ + ... + T₁₃₈₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3326337 + ... + 3326463.

Almost surely, 2^422452800 is an apocalyptic number.

422452800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967557120).

422452800 is an abundant number, since it is smaller than the sum of its proper divisors (1512661440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422452800 is a wasteful number, since it uses less digits than its factorization.

422452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 422452800 is about 20553.6566089832. The cubic root of 422452800 is about 750.3422438018.

The spelling of 422452800 in words is "four hundred twenty-two million, four hundred fifty-two thousand, eight hundred".